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Finding the Fourth Proportional to 411,985.60, 617,978.40 and 162,635.20

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Solution

The fourth proportional to 411,985.60, 617,978.40 and 162,635.20 is: 243,952.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,985.60 : 617,978.40 = 162,635.20 : x
  2. Step 2: Convert to fraction form
    411,985.60/617,978.40 = 162,635.20/x
  3. Step 3: Cross multiply
    411,985.60x = 617,978.40 × 162,635.20
  4. Step 4: Simplify right side
    411,985.60x = 100,505,040,679.68
  5. Step 5: Solve for x
    x = 100,505,040,679.68/411,985.60
  6. Step 6: Final answer
    x = 243,952.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.